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Properties of switching-dynamics race models

Blanchini, Franco; Casagrande, Daniele; Giordano, Giulia LU and Viaro, Umberto (2015) European Control Conference, ECC 2015 In 2015 European Control Conference, ECC 2015 p.2902-2907
Abstract

The paper analyses some continuous-time dynamic models that describe the evolution of social systems characterized by the possibility of changing the alliances among the parties involved or damaging one's competitors. At any time each participant, either an individual or a coalition, can decide to form or terminate a bond, or to start or stop damaging an opponent (i.e., to switch from a network configuration to another), based on a greedy, or shortsighted, criterion that does not consider the long-term effects of the decision. The proposed models fall within the domain of positive switching systems. Although they can obviously simulate the behaviour of many real-life situations, in which contenders aim at prevailing over one another to... (More)

The paper analyses some continuous-time dynamic models that describe the evolution of social systems characterized by the possibility of changing the alliances among the parties involved or damaging one's competitors. At any time each participant, either an individual or a coalition, can decide to form or terminate a bond, or to start or stop damaging an opponent (i.e., to switch from a network configuration to another), based on a greedy, or shortsighted, criterion that does not consider the long-term effects of the decision. The proposed models fall within the domain of positive switching systems. Although they can obviously simulate the behaviour of many real-life situations, in which contenders aim at prevailing over one another to achieve supremacy, the paper does not refer to a specific context and concentrates on the main structural properties of the mathematical models, such as positivity and boundedness of the solutions, existence of coalitions, steady-state behaviour. Simulations show how the different cooperative or hostile attitudes of the participants affect their yield.

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author
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
2015 European Control Conference, ECC 2015
pages
6 pages
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
European Control Conference, ECC 2015
external identifiers
  • Scopus:84963900747
ISBN
9783952426937
DOI
10.1109/ECC.2015.7330978
language
English
LU publication?
no
id
f5b40653-7a64-470d-976f-7e1b8ebe9876
date added to LUP
2016-07-06 15:19:45
date last changed
2017-01-01 08:29:58
@inproceedings{f5b40653-7a64-470d-976f-7e1b8ebe9876,
  abstract     = {<p>The paper analyses some continuous-time dynamic models that describe the evolution of social systems characterized by the possibility of changing the alliances among the parties involved or damaging one's competitors. At any time each participant, either an individual or a coalition, can decide to form or terminate a bond, or to start or stop damaging an opponent (i.e., to switch from a network configuration to another), based on a greedy, or shortsighted, criterion that does not consider the long-term effects of the decision. The proposed models fall within the domain of positive switching systems. Although they can obviously simulate the behaviour of many real-life situations, in which contenders aim at prevailing over one another to achieve supremacy, the paper does not refer to a specific context and concentrates on the main structural properties of the mathematical models, such as positivity and boundedness of the solutions, existence of coalitions, steady-state behaviour. Simulations show how the different cooperative or hostile attitudes of the participants affect their yield.</p>},
  author       = {Blanchini, Franco and Casagrande, Daniele and Giordano, Giulia and Viaro, Umberto},
  booktitle    = {2015 European Control Conference, ECC 2015},
  isbn         = {9783952426937},
  language     = {eng},
  month        = {11},
  pages        = {2902--2907},
  publisher    = {Institute of Electrical and Electronics Engineers Inc.},
  title        = {Properties of switching-dynamics race models},
  url          = {http://dx.doi.org/10.1109/ECC.2015.7330978},
  year         = {2015},
}